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37.1.3 Defining the Definite Integral and Its Geometric Meaning

37.1 First Steps with the Definite Integral and the Fundamental Theorem of Calculus

Point 3 of 7

37.1.3 Defining the Definite Integral and Its Geometric Meaning

Core idea

The limit of those thin-strip areas is the definite integral, and ∫ₐᵇf(x)dx equals the net area under the curve.

Module goal. Starting from the picture of finding an area or adding things up, build the idea of the definite integral and bridge it to the derivative, so the differentiation you just learned flows naturally into integration.

eastmath.com · 37.1 First Steps with the Definite Integral and the Fundamental Theorem of Calculus · 37.1.3 Defining the Definite Integral and Its Geometric Meaning